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MATRIZ
2
...
2 −1 0 1
A=
B=
Calcular: A + B
3 2 4 −2
4
...
B = 1 −5 4
−9 6 8
Hallar el opuesto de B
1 3 5
13
...
Sean: A =
0
0
3 1 2
−1 2 4
A = 0 5 −3 B = 2 5 8
7 0 4
0 1 −2
a)
b)
Demostrar que: A + B = B + A
Demostrar que:
A + ( B + C ) = ( A + B) + C
Calcular A + B
c)
Demostrar que A + O = A
...
−1 2 4
3 2 0
7 3 7
A=
B=
C=
2 7 6
0 −3 −1
3 5 7
7
...
−1 4
1 −6 5 9 11 −2
5
...
3 1 2
−1 2 4
A=
B=
5 0 4
0 −2 6
Calcular: A + B
9
...
A =
Hallar: A + B y B + A
(Conmutativa)
1 −3 4
0 2 −4
11
...
2 6 6 −2
17
...
−2 7 − 7 2 =
6 9 1 0
1 −1 −6 9
2 0 2 6
−
19
...
Sean: A =
3 −3
2 −3
[Fecha]
1
...
Dadas las matrices:
1 −3
−7 8
y B=
A=
4 5
−4 0
Calcular: A-B
−1 1 3
C=
2 6 −6
22
...
Calcular: 2 −2 1 −1 =
0 0 2
2 −6 7 1
=
7 1 6 −2
−3 −8 4
25
...
Calcular: 3
1 1 3
2 4 1
−1 2
27
...
Calcular: −6
2 −6 17 11
=
7 1 16 −2
28
...
Calcular: CF = 5 1 2 3
6
1
31
...
Calcular: PQ = 2 3 4 5
11
3
33
...
Calcular: 10 −1 2 =
2
1
3
−1
35
...
Calcular: 3 2 1 −2 =
2
1
1
0
37
...
Sean las matrices:
2
3
−1
38
...
Calcular: 1 3 4 3 =
4
3
40
...
A = 3 4 B =
9 10
5 6
Calcular: A X B
49
...
4 5 9 5 =
9
50
...
Calcular: 1 0 2 −4 =
−5
7
2
7
44
...
Calcular: 2 −1 3 5 =
4
a)
( A
...
C ) (Asociativo)
b)
1
...
1 = A
(Elemento Neutro)
1 0 −3
2 1 −6
0 4 2
46
...
AB =
0 1 −3 2 2
b) Calcular: ( AB )C
51
...
Sean: A =
a) Calcular: A
...
A
−1 0
2
Calcular: A
5 1
1 −2
Dada la matriz: A =
0 3
2
Calcula: A
3
Calcula: A
1 0 0
A = 0 1 0 Calcular: A3
1 0 1
53
...
a)
b)
55
...
A = 2 1 0 Calcula: A
−1 0 1
[Fecha]
7
42
...
C 2
b) Calcula: A
...
Siendo: A = 0 1 1
0 0 1
e) Escribe E T
57
...
Sean:
1
A=
1
1
a) Calcula: A2
b) Calcula: A3
2
3
2
3
6
−1
3
;
B
=
4
−1
−2
1
0
−3
0
1
a) Calcular Traz(A)
b) Calcular Traz(B)
c) Calcula: A4
59
...
Hallar:
2
B = 9
2
5
1
4
5
7
Traz(B)=
3
15
4
64
...
Si: A =
1
2 5
5 , B =
4 1
6
7
−1
2
1 , D =
0
3
6
1
C = 0
6
3
2
1
1
E = 7
4
7 4
−1 0 , F = 5
0 3
5
4
0
4
4
1
1
3
7
0
1
0
7
2
6 1
[Fecha]
3
Sean: A = 2
7
4